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Applied Shape Optimization for Fluids$
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Bijan Mohammadi and Olivier Pironneau

Print publication date: 2009

Print ISBN-13: 9780199546909

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199546909.001.0001

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Parameterization and implementation issues

Parameterization and implementation issues

(p.116) 6 Parameterization and implementation issues
Applied Shape Optimization for Fluids

Bijan Mohammadi

Olivier Pironneau

Oxford University Press

This chapter presents parameterization and geometrical issues. This is also one of key points for an efficient OSD platform. It describes different strategies for shape deformation within and without (level set and CAD-Free) computer aided design data structures during optimization. It discusses mesh deformation and remeshing. It discusses the pros and the cons of injection/suction boundary conditions equivalent to moving geometries when the motion is small. Some strategies to couple mesh adaptation and the shape optimization loop are presented. The aim is to obtain a multi-grid effect and improve convergence.

Keywords:   parameterization, level set, CAD-Free, remeshing, equivalent boundary conditions

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